亚纯函数与其移动按权分担一个小函数的唯一性问题

The Uniqueness of Meromorphic Function Sharing a Small Function with Its Shift

研究了有穷级亚纯函数f(z)与其移动f(z+c)按权l分担一个小函数a(z)时的唯一性问题,其中c为非零常数.针对当l≥2,l=1和l=0时3种情况,得到f(z)的相应值分布性质.

This paper is devoted to investigate the uniqueness problem on meromorphic function of finite order and its shift sharing a small function with weight l.According to three cases l≥2,l=1 and l=0,the value distribution property of the meromorphic function is obtained respectively.